So, is it in this particular case that they are equal because we are considering the eigenkets of A, a hermitian operator? Because these are the eigenkets of A, does that mean that all operators on it are real? Even though it is the operator <α| acting on it and not A?
Ket Notation -- Effects of the Projection Operator
Homework Statement
From Sakurai's Modern Quantum Mechanics (Revised Edition), it is just deriving equation 1.3.12.
Homework Equations
\begin{eqnarray*}\langle \alpha |\cdot (\sum_{a'}^N |a'\rangle \langle a'|) \cdot|\alpha \rangle...
Homework Statement
This is a problem from a chapter entitled "Permutation Groups" of an abstract algebra text.
1. Let α = ( 1 3 5 7 ) and β = (2 4 8) o (1 3 6) ∈ S8 Find α o β o α-1.
2. Let α = ( 1 3) o (5 8) and β = (2 3 6 7) ∈ S8 Find α o β o α-1.
Homework Equations
Sn is the set...
I'm attempting to get an output of a specific cartesian oval (or oval of descartes, the perfect imaging system in physical optics- viz. perfectly stigmatic imaging). Algebraically I've deduced the equation to be
3/2 Sqrt[(30 - x)^2 + y^2] + Sqrt[x^2 + y^2] == 7/20 (Mathematica input).
I'm...
Homework Statement
Find the value of z when sec(z) = 3i.
Homework Equations
sec (z) = 1/cos(z)
The Attempt at a Solution
I assume that I need to transform into polar coordinates and then use some transformations. I'm really at a loss. If not a solution maybe a few hints to go in...